CQ *-algebras of measurable operators
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Abstract
We study, from a quite general point of view, a CQ*-algebra (X, đ0) possessing a sufficient family of bounded positive tracial sesquilinear forms. Non-commutative L2-spaces are shown to constitute examples of a class of CQ*-algebras and any abstract CQ*-algebra (X, đ0) possessing a sufficient family of bounded positive tracial sesquilinear forms can be represented as a direct sum of non-commutative L2-spaces.
DOI:Â https://doi.org/10.2478/mjpaa-2022-0019 | Journal eISSN:Â 2351-8227
Language:Â English
Page range:Â 279 - 285
Submitted on:Â May 8, 2022
Accepted on:Â May 23, 2022
Published on:Â May 28, 2022
Published by:Â Sciendo
In partnership with:Â Paradigm Publishing Services
Publication frequency:Â 3 times per year
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© 2022 Salvatore Triolo, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.